Coordinate descent method is a unconstrained optimization technique. When it is applied to support vector machine （SVM）, at each step the method updates one component of w by solving a one-variable sub-problem while...Coordinate descent method is a unconstrained optimization technique. When it is applied to support vector machine （SVM）, at each step the method updates one component of w by solving a one-variable sub-problem while fixing other components. All components of w update after one iteration. Then go to next iteration. Though the method converges and converges fast in the beginning, it converges slow for final convergence. To improve the speed of final convergence of coordinate descent method, Hooke and Jeeves algorithm which adds pattern search after every iteration in coordinate descent method was applied to SVM and a global Newton algorithm was used to solve one-variable subproblems. We proved the convergence of the algorithm. Experimental results show Hooke and Jeeves＇ method does accelerate convergence specially for final convergence and achieves higher testing accuracy more quickly in classification.展开更多
By using the path integral approach, we investigate the problem of Hooke＇s atom （two electrons interacting with Coulomb potential in an external harmonic-oscillator potential） in an arbitrary time-dependent electri...By using the path integral approach, we investigate the problem of Hooke＇s atom （two electrons interacting with Coulomb potential in an external harmonic-oscillator potential） in an arbitrary time-dependent electric field. For a certain infinite set of discrete oscillator frequencies, we obtain the analytical solutions. The ground state polarization of the atom is then calculated. The same result is also obtained through linear response theory.展开更多
AISI 304L is an austenitic Chromium-Nickel stainless steel offering the optimum combination of corrosion resistance, strength and ductility. These attributes make it a favorite for many mechanical components. The pape...AISI 304L is an austenitic Chromium-Nickel stainless steel offering the optimum combination of corrosion resistance, strength and ductility. These attributes make it a favorite for many mechanical components. The paper focuses on developing mathematical models to predict grain size and hardness of pulsed current micro plasma arc welded AISI 304L joints. Four factors, five level, central composite rotatable design matrix is used to optimize the number of experiments. The mathematical models have been developed by Response Surface Method (RSM) and its adequacy is checked by Analysis of Variance (ANOVA) technique. By using the developed mathematical models, grain size and hardness of the weld joints can be predicted with 99% confidence level. The developed mathematical models have been optimized using Hooke and Jeeves algorithm to minimize grain size and maximize the hardness.展开更多
The aim of this study is to report the use of RE （remote experimentation） in an educational press. The authors developed this remote experiment with the objective to study the Hooke＇s law through the analysis of th...The aim of this study is to report the use of RE （remote experimentation） in an educational press. The authors developed this remote experiment with the objective to study the Hooke＇s law through the analysis of the coil spring. The remote experiment is available in a website, where the students can manipulate and observe the educational press and confirm Hooke＇s statements with the output information. In addition, the students will have the opportunity to read in the website about the educational press, the physical law, and the use of the press in industrial processes. This remote experimentation exerts a force in the mechanical spring creating a deformation. In the defined point, the microcomputer will collect the data from the sensors, and it will save this data in the database. After the process execution, a graph with the data will be plotted in the website. The tests confirm that the educational press has informational potential because it returned values consistent with Hooke＇s law and the experiment presented repetition in all tests realized.展开更多
The effective utilisation of steel fibre reinforced concrete (SFRC) requires in-depth and detailed understanding of bonding mechanisms governing the tensile behaviour. In response to this demand, this study presents a...The effective utilisation of steel fibre reinforced concrete (SFRC) requires in-depth and detailed understanding of bonding mechanisms governing the tensile behaviour. In response to this demand, this study presents an empirical description of the axial force required to pull out a hooked end steel fibre from a cementitious matrix. It is based upon consistent experimental tests that show the force versus displacement plot is formed from a sequence of events in which partial and full debonding at the interface is followed by bending of the hook knee to raise the force to its maximum. A loss of peak force occurs with the reversed plasticity involved in a full straightening of the fibre that precedes the rapid sliding to its full removal under a falling force. The stages are assembled in the said order with a piecewise connection between linear segments and a curve of exponential decay. A power law can be introduced to describe the knee bending stage if preferred. The normalised co-ordinates were adopted for the simple mathematical discontinuous function of the full pull-out process. Normalising force and displacement for hooked fibre is based upon the maximum values found for straight fibre pull out. This would apply to an overall embedded length of unity and a unit peak force for a full debonding of straight fibre in similar materials. For hooked fibre the normalised co-ordinates given refer to the initiation and duration of each event to be tabulated at fractions of the embedded length with multiples of that force. Such predictions are seen to be in good agreement with average pull-out response curves.展开更多
SIX thousand kilometers!10,000 li! 3000 yearsold! The only man-madestructure that can be seenfrom the moon! The bricks alonewould build four Egyptian pyra-mids! Wide enough for fourhorses abreast! You are not aman unt...SIX thousand kilometers!10,000 li! 3000 yearsold! The only man-madestructure that can be seenfrom the moon! The bricks alonewould build four Egyptian pyra-mids! Wide enough for fourhorses abreast! You are not aman until you’ve been to theWall! We have all heard at leastone of these claims.展开更多
China ramps up its efforts to safeguard juveniles from the Internet gaming addiction Just before this year’s national college entrance exam,or the gaokao,on June 7-8,a letter from a despairing mother of student made ...China ramps up its efforts to safeguard juveniles from the Internet gaming addiction Just before this year’s national college entrance exam,or the gaokao,on June 7-8,a letter from a despairing mother of student made a big splash on Weibo,a Chinese Twitter-like microblogging platform.The mother described how her son,who used to be an outstanding learner,failed the exam展开更多
A fundamental property of solid materials is their stress state. Stress state of a solid or thin film material has profound effects on its thermodynamic stability and physical and chemical properties. The classical me...A fundamental property of solid materials is their stress state. Stress state of a solid or thin film material has profound effects on its thermodynamic stability and physical and chemical properties. The classical mechanical stress （σ^M） originates from lat- tice strain （e）, following Hooke＇s law： σ^M=Cε, where C is elastic constant matrix. Recently, a new concept of quantum electronic stress （o-QE） is introduced to elucidate the extrinsic electronic effects on the stress state of solids and thin films, which follows a quantum analog of classical Hooke＇s law： ~QE=E（An）, where E is the deformation potential of electronic states and An is the variation of electron density. Here, we present mathematical derivation of both the classical and quantum Hooke＇s law from density functional theory. We further discuss the physical origin of quantum electronic stress, arising purely from electronic excitation and perturbation in the absence of lattice strain （g=0）, and its relation to the degeneracy pressure of electrons in solid and their interaction with the lattice.展开更多
Chinese psychologists outline criteria for Internet addiction Day after day you are glued to your computer screen.You cannot get enough of online games,net shop-ping or cyber surfing.Your social life dete-riorates,and...Chinese psychologists outline criteria for Internet addiction Day after day you are glued to your computer screen.You cannot get enough of online games,net shop-ping or cyber surfing.Your social life dete-riorates,and so does your health.Chancesare that you are addicted to the Internet and you need counseling.展开更多
The new Chinese action RPG Black Myth:Wukong has gained global popularity by incorporating many Chinese cultural elements into its storyline,which is based on the Monkey King from the classic novel Journey to the West...The new Chinese action RPG Black Myth:Wukong has gained global popularity by incorporating many Chinese cultural elements into its storyline,which is based on the Monkey King from the classic novel Journey to the West.Many players have commented that the game’s cut scenes and visuals alone have yingkonged them,keeping them hooked for a long time.展开更多
基金supported by the National Natural Science Foundation of China (6057407560705004)
文摘Coordinate descent method is a unconstrained optimization technique. When it is applied to support vector machine （SVM）, at each step the method updates one component of w by solving a one-variable sub-problem while fixing other components. All components of w update after one iteration. Then go to next iteration. Though the method converges and converges fast in the beginning, it converges slow for final convergence. To improve the speed of final convergence of coordinate descent method, Hooke and Jeeves algorithm which adds pattern search after every iteration in coordinate descent method was applied to SVM and a global Newton algorithm was used to solve one-variable subproblems. We proved the convergence of the algorithm. Experimental results show Hooke and Jeeves＇ method does accelerate convergence specially for final convergence and achieves higher testing accuracy more quickly in classification.
基金Supported by the National Natural Science Foundation of China under Grant No.10805029ZheJiang NSF under Grant No.R6090717the K.C.Wong Magna Foundation of Ningbo University
文摘By using the path integral approach, we investigate the problem of Hooke＇s atom （two electrons interacting with Coulomb potential in an external harmonic-oscillator potential） in an arbitrary time-dependent electric field. For a certain infinite set of discrete oscillator frequencies, we obtain the analytical solutions. The ground state polarization of the atom is then calculated. The same result is also obtained through linear response theory.
文摘AISI 304L is an austenitic Chromium-Nickel stainless steel offering the optimum combination of corrosion resistance, strength and ductility. These attributes make it a favorite for many mechanical components. The paper focuses on developing mathematical models to predict grain size and hardness of pulsed current micro plasma arc welded AISI 304L joints. Four factors, five level, central composite rotatable design matrix is used to optimize the number of experiments. The mathematical models have been developed by Response Surface Method (RSM) and its adequacy is checked by Analysis of Variance (ANOVA) technique. By using the developed mathematical models, grain size and hardness of the weld joints can be predicted with 99% confidence level. The developed mathematical models have been optimized using Hooke and Jeeves algorithm to minimize grain size and maximize the hardness.
文摘The aim of this study is to report the use of RE （remote experimentation） in an educational press. The authors developed this remote experiment with the objective to study the Hooke＇s law through the analysis of the coil spring. The remote experiment is available in a website, where the students can manipulate and observe the educational press and confirm Hooke＇s statements with the output information. In addition, the students will have the opportunity to read in the website about the educational press, the physical law, and the use of the press in industrial processes. This remote experimentation exerts a force in the mechanical spring creating a deformation. In the defined point, the microcomputer will collect the data from the sensors, and it will save this data in the database. After the process execution, a graph with the data will be plotted in the website. The tests confirm that the educational press has informational potential because it returned values consistent with Hooke＇s law and the experiment presented repetition in all tests realized.
文摘The effective utilisation of steel fibre reinforced concrete (SFRC) requires in-depth and detailed understanding of bonding mechanisms governing the tensile behaviour. In response to this demand, this study presents an empirical description of the axial force required to pull out a hooked end steel fibre from a cementitious matrix. It is based upon consistent experimental tests that show the force versus displacement plot is formed from a sequence of events in which partial and full debonding at the interface is followed by bending of the hook knee to raise the force to its maximum. A loss of peak force occurs with the reversed plasticity involved in a full straightening of the fibre that precedes the rapid sliding to its full removal under a falling force. The stages are assembled in the said order with a piecewise connection between linear segments and a curve of exponential decay. A power law can be introduced to describe the knee bending stage if preferred. The normalised co-ordinates were adopted for the simple mathematical discontinuous function of the full pull-out process. Normalising force and displacement for hooked fibre is based upon the maximum values found for straight fibre pull out. This would apply to an overall embedded length of unity and a unit peak force for a full debonding of straight fibre in similar materials. For hooked fibre the normalised co-ordinates given refer to the initiation and duration of each event to be tabulated at fractions of the embedded length with multiples of that force. Such predictions are seen to be in good agreement with average pull-out response curves.
文摘SIX thousand kilometers!10,000 li! 3000 yearsold! The only man-madestructure that can be seenfrom the moon! The bricks alonewould build four Egyptian pyra-mids! Wide enough for fourhorses abreast! You are not aman until you’ve been to theWall! We have all heard at leastone of these claims.
文摘China ramps up its efforts to safeguard juveniles from the Internet gaming addiction Just before this year’s national college entrance exam,or the gaokao,on June 7-8,a letter from a despairing mother of student made a big splash on Weibo,a Chinese Twitter-like microblogging platform.The mother described how her son,who used to be an outstanding learner,failed the exam
基金supported by the DOE-BES program(Grant No.DE-04ER46148)NSF-MRSEC(Grant No.DMR-1121252)
文摘A fundamental property of solid materials is their stress state. Stress state of a solid or thin film material has profound effects on its thermodynamic stability and physical and chemical properties. The classical mechanical stress （σ^M） originates from lat- tice strain （e）, following Hooke＇s law： σ^M=Cε, where C is elastic constant matrix. Recently, a new concept of quantum electronic stress （o-QE） is introduced to elucidate the extrinsic electronic effects on the stress state of solids and thin films, which follows a quantum analog of classical Hooke＇s law： ~QE=E（An）, where E is the deformation potential of electronic states and An is the variation of electron density. Here, we present mathematical derivation of both the classical and quantum Hooke＇s law from density functional theory. We further discuss the physical origin of quantum electronic stress, arising purely from electronic excitation and perturbation in the absence of lattice strain （g=0）, and its relation to the degeneracy pressure of electrons in solid and their interaction with the lattice.
文摘Chinese psychologists outline criteria for Internet addiction Day after day you are glued to your computer screen.You cannot get enough of online games,net shop-ping or cyber surfing.Your social life dete-riorates,and so does your health.Chancesare that you are addicted to the Internet and you need counseling.
文摘The new Chinese action RPG Black Myth:Wukong has gained global popularity by incorporating many Chinese cultural elements into its storyline,which is based on the Monkey King from the classic novel Journey to the West.Many players have commented that the game’s cut scenes and visuals alone have yingkonged them,keeping them hooked for a long time.
